AI Summary & Key Takeaways
AI InsightSome results on integrability of an invariant distribution of a QR-submanifold and on the immersions of its leaves are also obtained.
📌 3 Key Takeaways
Abstract
In this paper,QR-submanifolds of quaternion Kaehlerian manifolds with \dim n \perp =1 has been considered. It is shown that each QR-submanifold of quaternion Kaehlerian manifold with \dim n \perp =1 is a manifold with an almost contact 3-structure. We apply geometric theory of almost contact 3-structure to the classification of QR-submanifolds (resp.Real hypersurfaces) of quaternion Kaehler manifolds (resp.IR4m, m>1). Some results on integrability of an invariant distribution of a QR-submanifold and on the immersions of its leaves are also obtained.
Özet
In this paper,QR-submanifolds of quaternion Kaehlerian manifolds with \dim n \perp =1 has been considered. It is shown that each QR-submanifold of quaternion Kaehlerian manifold with \dim n \perp =1 is a manifold with an almost contact 3-structure. We apply geometric theory of almost contact 3-structure to the classification of QR-submanifolds (resp.Real hypersurfaces) of quaternion Kaehler manifolds (resp.IR4m, m>1). Some results on integrability of an invariant distribution of a QR-submanifold and on the immersions of its leaves are also obtained.